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2 <p>Last updated on<strong>December 12, 2025</strong></p>

3 <p>Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 351, how they are used in real life, and tips to learn them quickly.</p>

4 <h2>What are the Factors of 351?</h2>

5 <p>The<a>numbers</a>that divide 351 evenly are known as<a>factors</a>of 351.</p>

6 <p>A factor of 351 is a number that divides the number without<a>remainder</a>.</p>

7 <p>The factors of 351 are 1, 3, 9, 13, 27, 39, 117, and 351.</p>

8 <p><strong>Negative factors of 351:</strong>-1, -3, -9, -13, -27, -39, -117, and -351.</p>

9 <p><strong>Prime factors of 351:</strong>3 and 13.</p>

10 <p><strong>Prime factorization of 351:</strong>3² × 13.</p>

11 <p>The<a>sum</a>of factors of 351: 1 + 3 + 9 + 13 + 27 + 39 + 117 + 351 = 560</p>

12 <h2>How to Find Factors of 351?</h2>

13 <p>Factors can be found using different methods. Mentioned below are some commonly used methods:</p>

14 <ul><li>Finding factors using<a>multiplication</a> </li>

15 <li>Finding factors using the<a>division</a>method </li>

16 <li>Prime factors and<a>prime factorization</a></li>

17 </ul><h3>Finding Factors Using Multiplication</h3>

18 <p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 351. Identifying the numbers which are multiplied to get the number 351 is the multiplication method.</p>

19 <p><strong>Step 1:</strong>Multiply 351 by 1, 351 × 1 = 351.</p>

20 <p><strong>Step 2:</strong>Check for other numbers that give 351 after multiplying </p>

21 <p>3 × 117 = 351 </p>

22 <p>9 × 39 = 351 </p>

23 <p>13 × 27 = 351</p>

24 <p>Therefore, the positive factor pairs of 351 are: (1, 351), (3, 117), (9, 39), (13, 27).</p>

25 <p>For every positive factor, there is a negative factor.</p>

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28 <h3>Finding Factors Using Division Method</h3>

27 <h3>Finding Factors Using Division Method</h3>

29 <p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method</p>

28 <p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method</p>

30 <p><strong>Step 1:</strong>Divide 351 by 1, 351 ÷ 1 = 351.</p>

29 <p><strong>Step 1:</strong>Divide 351 by 1, 351 ÷ 1 = 351.</p>

31 <p><strong>Step 2:</strong>Continue dividing 351 by the numbers until the remainder becomes 0.</p>

30 <p><strong>Step 2:</strong>Continue dividing 351 by the numbers until the remainder becomes 0.</p>

32 <p>351 ÷ 1 = 351</p>

31 <p>351 ÷ 1 = 351</p>

33 <p>351 ÷ 3 = 117</p>

32 <p>351 ÷ 3 = 117</p>

34 <p>351 ÷ 9 = 39</p>

33 <p>351 ÷ 9 = 39</p>

35 <p>351 ÷ 13 = 27</p>

34 <p>351 ÷ 13 = 27</p>

36 <p>Therefore, the factors of 351 are: 1, 3, 9, 13, 27, 39, 117, and 351.</p>

35 <p>Therefore, the factors of 351 are: 1, 3, 9, 13, 27, 39, 117, and 351.</p>

37 <h3>Prime Factors and Prime Factorization</h3>

36 <h3>Prime Factors and Prime Factorization</h3>

38 <p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the prime factors using the following methods:</p>

37 <p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the prime factors using the following methods:</p>

39 <ul><li>Using prime factorization </li>

38 <ul><li>Using prime factorization </li>

40 <li>Using<a>factor tree</a></li>

39 <li>Using<a>factor tree</a></li>

41 </ul><p>Using Prime Factorization: In this process, prime factors of 351 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

40 </ul><p>Using Prime Factorization: In this process, prime factors of 351 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.</p>

42 <p>351 ÷ 3 = 117</p>

41 <p>351 ÷ 3 = 117</p>

43 <p>117 ÷ 3 = 39</p>

42 <p>117 ÷ 3 = 39</p>

44 <p>39 ÷ 3 = 13</p>

43 <p>39 ÷ 3 = 13</p>

45 <p>13 ÷ 13 = 1</p>

44 <p>13 ÷ 13 = 1</p>

46 <p>The prime factors of 351 are 3 and 13.</p>

45 <p>The prime factors of 351 are 3 and 13.</p>

47 <p>The prime factorization of 351 is: 3² × 13.</p>

46 <p>The prime factorization of 351 is: 3² × 13.</p>

48 <h2>Factor Tree</h2>

47 <h2>Factor Tree</h2>

49 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows</p>

48 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows</p>

50 <p><strong>Step 1:</strong>Firstly, 351 is divided by 3 to get 117.</p>

49 <p><strong>Step 1:</strong>Firstly, 351 is divided by 3 to get 117.</p>

51 <p><strong>Step 2:</strong>Now divide 117 by 3 to get 39.</p>

50 <p><strong>Step 2:</strong>Now divide 117 by 3 to get 39.</p>

52 <p><strong>Step 3:</strong>Then divide 39 by 3 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 351 is: 3² × 13.</p>

51 <p><strong>Step 3:</strong>Then divide 39 by 3 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 351 is: 3² × 13.</p>

53 <p>Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.</p>

52 <p>Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.</p>

54 <p>Both positive and negative factors constitute factor pairs.</p>

53 <p>Both positive and negative factors constitute factor pairs.</p>

55 <p>Positive factor pairs of 351: (1, 351), (3, 117), (9, 39), and (13, 27).</p>

54 <p>Positive factor pairs of 351: (1, 351), (3, 117), (9, 39), and (13, 27).</p>

56 <p>Negative factor pairs of 351: (-1, -351), (-3, -117), (-9, -39), and (-13, -27).</p>

55 <p>Negative factor pairs of 351: (-1, -351), (-3, -117), (-9, -39), and (-13, -27).</p>

57 <h2>Common Mistakes and How to Avoid Them in Factors of 351</h2>

56 <h2>Common Mistakes and How to Avoid Them in Factors of 351</h2>

58 <p>Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.</p>

57 <p>Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.</p>

58 + <h2>Download Worksheets</h2>

59 <h3>Problem 1</h3>

60 <p>There are 13 teams and 351 participants. How will they divide the participants equally?</p>

61 <p>Okay, lets begin</p>

62 <p>They will get 27 participants each.</p>

63 <h3>Explanation</h3>

64 <p>To divide the participants equally, we need to divide the total participants by the number of teams.</p>

65 <p>351/13 = 27</p>

66 <p>Well explained 👍</p>

67 <h3>Problem 2</h3>

68 <p>A garden is rectangular, the length of the garden is 9 meters and the total area is 351 square meters. Find the width.</p>

69 <p>Okay, lets begin</p>

70 <p>39 meters.</p>

71 <h3>Explanation</h3>

72 <p>To find the width of the garden, we use the formula, </p>

73 <p>Area = length × width </p>

74 <p>351 = 9 × width </p>

75 <p>To find the value of width, we need to shift 9 to the left side. </p>

76 <p>351/9 = width </p>

77 <p>Width = 39.</p>

78 <p>Well explained 👍</p>

79 <h3>Problem 3</h3>

80 <p>There are 39 boxes and 351 items. How many items will be in each box?</p>

81 <p>Okay, lets begin</p>

82 <p>Each box will have 9 items.</p>

83 <h3>Explanation</h3>

84 <p>To find the items in each box, divide the total items by the boxes. </p>

85 <p>351/39 = 9</p>

86 <p>Well explained 👍</p>

87 <h3>Problem 4</h3>

88 <p>In a class, there are 351 students, and 3 groups. How many students are there in each group?</p>

89 <p>Okay, lets begin</p>

90 <p>There are 117 students in each group.</p>

91 <h3>Explanation</h3>

92 <p>Dividing the students by the total groups, we will get the number of students in each group. </p>

93 <p>351/3 = 117</p>

94 <p>Well explained 👍</p>

95 <h3>Problem 5</h3>

96 <p>351 books need to be arranged in 13 shelves. How many books will go on each shelf?</p>

97 <p>Okay, lets begin</p>

98 <p>Each of the shelves has 27 books.</p>

99 <h3>Explanation</h3>

100 <p>Divide total books by shelves. </p>

101 <p>351/13 = 27</p>

102 <p>Well explained 👍</p>

103 <h2>FAQs on Factors of 351</h2>

104 <h3>1.What are the factors of 351?</h3>

105 <p>1, 3, 9, 13, 27, 39, 117, 351 are the factors of 351.</p>

106 <h3>2.Mention the prime factors of 351.</h3>

107 <p>The prime factors of 351 are 3² × 13.</p>

108 <h3>3.Is 351 a multiple of 9?</h3>

109 <h3>4.Mention the factor pairs of 351?</h3>

110 <p>(1, 351), (3, 117), (9, 39), and (13, 27) are the factor pairs of 351.</p>

111 <h3>5.What is the square of 351?</h3>

112 <h2>Important Glossaries for Factor of 351</h2>

113 <ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 351 are 1, 3, 9, 13, 27, 39, 117, and 351. </li>

114 <li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3 and 13 are prime factors of 351. </li>

115 <li><strong>Factor pairs:</strong>Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 351 are (1, 351), (3, 117), etc. </li>

116 <li><strong>Prime factorization:</strong>Breaking down a number into a product of its prime factors. For example, the prime factorization of 351 is 3² × 13. </li>

117 <li><strong>Multiple:</strong>A number that can be divided by another number without a remainder. For example, 351 is a multiple of 9.</li>

118 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>

119 <p>▶</p>

120 <h2>Hiralee Lalitkumar Makwana</h2>

121 <h3>About the Author</h3>

122 <p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>

123 <h3>Fun Fact</h3>

124 <p>: She loves to read number jokes and games.</p>